Unit 5 Practice Quiz

Rewrite the exponential equation as a logarith: 7 = 2^x

• log₇x = 2

• log_x2 = 7

• log₂x = 7

• log₂7 = x

Rewrite the logarithm as an exponential equation: ln(x) = 4

• e = x⁴

• x = e⁴

• x = 4^e

• e^x = 4

Which equation matches the graph below?

• $y=3\left(\frac{1}{2}\right)^x-1$

• $y=\left(\frac{1}{3}\right)^x+2$

• $y=2^{\left(x-3\right)}-4$

• $y=3^{\left(x-1\right)}-2$

Graph the equation:  $y=2^x-3$  

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Which equation matches the following graph:

• $y=\log\left(x-6\right)-3$

• $y=\log\left(x-6\right)+3$

• $y=\log\left(x+6\right)-3$

• $y=\log\left(x+6\right)+3$

Which graph matches the equations $y\ =\ \log_2\left(x+3\right)+2$

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What is the asymptote of $y=\log\left(x+2\right)+3$ ?

• $x=-4$

• $y\ =\ 4$

• $x=-2$

• $y=-2$

What is the asymptote of $g\left(x\right)=\log_4\left(x-1\right)+2$ ?

• $x=1$

• $x=3$

• $y=1$

• $y=3$

What is the asymptote of the following function? $y=3\cdot\log\left(x+7\right)-4$

• $x=-4$

• $x=-7$

• $y=4$

• $y=7$

Solve: $3^{\left(x-1\right)}-7=20$

• 4

• 2.5

• 10

• 3